Subdivisions of root polytopes and generalized tropical oriented matroids (Extended abstract)
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866912955807825920 |
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| author | Yao, Yuan Zhang, Chenyi |
| author_facet | Yao, Yuan Zhang, Chenyi |
| contents | We study a generalization of tropical oriented matroids by Ardila and Develin, and show that they are in bijection with subdivisions of root polytopes, which are sub-polytopes of a product of two simplices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08539 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Subdivisions of root polytopes and generalized tropical oriented matroids (Extended abstract) Yao, Yuan Zhang, Chenyi Combinatorics We study a generalization of tropical oriented matroids by Ardila and Develin, and show that they are in bijection with subdivisions of root polytopes, which are sub-polytopes of a product of two simplices. |
| title | Subdivisions of root polytopes and generalized tropical oriented matroids (Extended abstract) |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2603.08539 |